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Finding the Third Proportional to 13,682.25 and 32,302.13

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Solution

The third proportional to 13,682.25 and 32,302.13 is: 76,261.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,682.25 : 32,302.13 = 32,302.13 : x
  2. Step 2: Convert to fraction form
    13,682.25/32,302.13 = 32,302.13/x
  3. Step 3: Cross multiply
    13,682.25x = 32,302.13 × 32,302.13
  4. Step 4: Simplify right side
    13,682.25x = 1,043,427,279.52
  5. Step 5: Solve for x
    x = 1,043,427,279.52/13,682.25
  6. Step 6: Final answer
    x = 76,261.38

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.